Multipurchasing with Complementarity
and Full Market Covering

This paper studies implications of complementarity and full market covering property on the existence of multipurchase equilibrium in the variant of the Hotelling model that allows for an outside option of ``no purchase'' and a multipurchasing option of buying one unit from every firm. We show that when goods are complements, a multipurchase equilibrium is a unique equilibrium in which every consumer buys at least one product. Particularly, we show that the set of prices supporting full market covering implies multipurchasing however large is the value of product for consumers. This provides a cautionary warning to an understanding that full market covering assumption is innocuous because market can be made fully covered if the value of product is sufficiently large.